Patrizio Neff

TL;DR: In this article, a formulation of polyconvex anisotropic hyperelasticity at finite strains is proposed, where the authors represent the governing constitutive equations within the framework of the invariant theory, in order to guarantee the existence of minimizers.

TL;DR: In this paper, a simple method for constructing transversely isotropic polyconvex functions suitable for the description of biological soft tissues is presented, where only a few parameters are necessary to approximate a variety of stress-strain curves and to satisfy the condition of a stress-free reference configuration a priori in the framework of polyconcaveity.

TL;DR: In this article, the authors investigated several models in the literature for near-incompressibility based on invariants in terms of polyconvexity and coerciveness inequality, which are sufficient to guarantee the existence of a solution.

TL;DR: In this article, a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force stresses and curvature contribution depending only on the micro-dislocation tensor is proposed.

TL;DR: In this article, an anisotropic stored energy function which satisfies a priori the Legendre-Hadamard condition was proposed, which is strongly related to the material stability of the constitutive equations.